Current-driven electrostatic ion-cyclotron (EIC) instability is studied in a collisional magnetized dusty plasma. The growth rate and unstable mode frequencies were evaluated based on existing physical parameters relevant to ion cyclotron waves in dusty plasmas. It is found that the unstable mode frequency and growth rate of current-driven EIC instability increase with delta (ion-to-electron density ratio). Moreover, the increase in electron neutral collisional frequency (nu(e)) has no effect on the unstable mode frequency while the normalized growth rate has linear dependence on nu(e). (C) 2013 AIP Publishing LLC.